A starting lineup in basketball consists of two guards, two
forwards, and a center. a. A certain college team has
on its roster three centers,
four guards, four forwards, and one individual (X) who can play
either guard or forward. How many different starting lineups can be
created? [Hint: Consider lineups without X, then lineups with X as
guard, then lineups with X as forward.]
b. Now suppose the roster has 5 guards, 5 forwards, 3
centers, and 2 “swing...